Least Common Multiple of 2013 and 2021
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2013 and 2021 the smallest integer that is 4068273 that is divisible by both numbers.
Least Common Multiple (LCM) of 2013 and 2021 is 4068273.
LCM(2013,2021) = 4068273
LCM of 2013 and 2021
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2013 and 2021 by Prime method
- Least Common Multiple of 2013 and 2021 with GCF Formula
LCM of 2013 and 2021 is 4068273
Least common multiple can be found by multiplying the highest exponent prime factors of 2013 and 2021. First we will calculate the prime factors of 2013 and 2021.
Prime Factorization of 2013
| 3 | 2013 |
| 11 | 671 |
| 61 | 61 |
| 1 |
Prime factors of 2013 are 3, 11,61. Prime factorization of 2013 in exponential form is:
2013 = 31×111×611
Prime Factorization of 2021
| 43 | 2021 |
| 47 | 47 |
| 1 |
Prime factors of 2021 are 43,47. Prime factorization of 2021 in exponential form is:
2021 = 431×471
Now multiplying the highest exponent prime factors to calculate the LCM of 2013 and 2021.
LCM(2013,2021) = 31×111×431×471×611
LCM(2013,2021) = 4068273
Factors of 2013
List of positive integer factors of 2013 that divides 2013 without a remainder.
1, 3, 11, 33, 61, 183, 671, 2013
Factors of 2021
List of positive integer factors of 2021 that divides 2021 without a remainder.
1, 43, 47, 2021
Least Common Multiple of 2013 and 2021 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2013 and 2021, than apply into the LCM equation.
GCF(2013,2021) = 1
LCM(2013,2021) = ( 2013 × 2021) / 1
LCM(2013,2021) = 4068273 / 1
LCM(2013,2021) = 4068273
Properties of LCM 2013 and 2021
(i) The LCM of 2021 and 2013 is associative
LCM of 2013 and 2021 = LCM of 2021 and 2013
Related Least Common Multiples of 2013
Related Least Common Multiples of 2021
Frequently Asked Questions on LCM of 2013 and 2021
1. What is the LCM of 2013 and 2021?
Answer: LCM of 2013 and 2021 is 4068273.
2. What are the Factors of 2013?
Answer: Factors of 2013 are 1, 3, 11, 33, 61, 183, 671, 2013. There are 8 integers that are factors of 2013. The greatest factor of 2013 is 2013.
3. What are the Factors of 2021?
Answer: Factors of 2021 are 1, 43, 47, 2021. There are 4 integers that are factors of 2021. The greatest factor of 2021 is 2021.
4. How to Find the LCM of 2013 and 2021?
Answer:
Least Common Multiple of 2013 and 2021 = 4068273
Step 1: Find the prime factorization of 2013
2013 = 3 x 11 x 61
Step 2: Find the prime factorization of 2021
2021 = 43 x 47
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4068273 = 3 x 11 x 43 x 47 x 61
Step 4: Therefore, the least common multiple of 2013 and 2021 is 4068273.